Huygens, Christiaan, Christiani Hugenii opera varia; Bd. 2: Opera geometrica. Opera astronomica. Varia de optica

Table of figures

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[Figure 1]
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[Figure 2]
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[Figure 3]
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[4] Pag. 324.TAB. XXXIV.Fig. 1.O B E P L S Q M R N A K H G D F C
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[5] Fig. 3.B Q P S O N R M E H K G A F D L C
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[6] Fig. 2.B E A G M C D H R F K L
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[7] Fig. 4.B M L K E A D F H C
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[8] Fig. 5.B B A D C A D C E E
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[9] Fig. 8.K G H M E F B L A D C
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[10] Fig. 6.S E B P D
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[11] Fig. 7.E S D P B
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[12] Pag. 326.TAB. XXXV.Fig. 1.N H T Z Ψ G K X S Σ Α E Ξ Y F O L B Δ R P V C Q Ω D M
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[13] Fig. 5.B L A C D F M G K E H
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[14] Fig. 4.B L A C D F M G K H E
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[15] Fig. 2.B Δ P R V C Q Ω D A L F O Y Ξ Α Σ X S G K Ψ Z T H E N M
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[16] Fig. 3.B Δ P R V A D Ω Q C L F O Y Ξ Α Σ X S G K E Ψ Z T H E N M
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[17] Pag. 328.Fig. 2.B L F A D C H E
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[18] Fig. 1.B L F A D C H E
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[19] Fig. 3.B E A D C
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[20] Fig. 4.Q B H A F C E G R D K
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[21] Fig. 5.B E D A C G F
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[Figure 22]
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[23] Pag. 340.TAB. XXXVII.Fig. 1.C G H F E DH A X Q Y T N V B G
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[24] Fig. 3.γ A F D X B P N V E Q C
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[25] Fig. 2.K C Δ R Θ Z O Γ D I
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[26] Fig. 4.A B D C Π Φ N E S P F
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[27] Fig. 2.M E Ψ Λ Φ S Ξ Π Ρ Σ Ω F L
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[28] Fig. 5.K B Δ E Z A C R O D Θ Γ I
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[Figure 29]
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[Figure 30]
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73361DE CIRCULI MAGNIT. INVENTA. rectis A D, D C & arcu A B C comprehenſum majus erit
portionis A B C dimidio. Ac proinde triangulum A D C
majus quam portionis A B C ſeſquialterum. Quod erat de-
monſtrandum.
Theor. V. Prop. V.
OMnis circulus major eſt pylogono æqualium
laterum ſibi inſcripto & triente exceſſus quo
id polygonum ſuperat aliud inſcriptum ſubduplo la-
terum numero.
Eſto circulus centro C; ſitque ipſi inſcriptum polygonum
11TAB. XXXVIII.
Fig. 5. æqualium laterum, quorum unum ſit A B. Atque alterum
item polygonum ſit inſcriptum, cujus bina latera A D, D B,
ſubtendat A B. Hoc igitur priore polygono majus eſt. Sit
autem exceſſus trienti æquale H ſpatium. Dico circulum ma-
jorem eſſe polygono A D B una cum ſpatio H. Ducantur
enim ex centro rectæ C A, C B. Quoniam igitur portio
circuli A D B major eſt quam ſeſquitertia trianguli A D B ſibi
inſcripti ; erunt portiones A D, D B, ſimul majores 22per. 3. huj. ente trianguli A D B. Quamobrem & ſector C A B major
erit utriſque ſimul quadrilatero C A D B & triente trian-
guli A D B. Sicut autem ſector C A B ad circulum totum,
ita eſt quadrilaterum C D B A ad polygonum A D B, &
ita quoque triens trianguli A D B ad trientem exceſſus po-
lygoni A D B ſupra polygonum A B. Ergo manifeſtum eſt
circulum quoque totum majorem fore polygono A D B una
cum triente exceſſus quo polygonum A D B ſuperat poly-
gonum A B, hoc eſt, unà cum ſpatio H. Quod erat demon-
ſtrandum.
Theor. VI. Prop. VI.
Omnis circulus minor eſt duabus tertiis polygo-
ni æqualium laterum ſibi circumſcripti & tri-
ente polygoni ſimilis inſcripti.

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